If a population is known to be normally distributed,what can be said of the sampling distribution of the sample mean drawn from this population?
A)For any sample size n,the sampling distribution of the sample mean is normally distributed.
B)For a sample size ,the sampling distribution of the sample mean is normally distributed.
C)For a sample size ,the sampling distribution of the sample mean is normally distributed.
D)For a sample size

Question

If a population is known to be normally distributed,what can be said of the sampling distribution of the sample mean drawn from this population?
A)For any sample size n,the sampling distribution of the sample mean is normally distributed. 
B)For a sample size ,the sampling distribution of the sample mean is normally distributed. 
C)For a sample size ,the sampling distribution of the sample mean is normally distributed. 
D)For a sample size

Quizplus · Accepted Answer

If a population is normally distributed, then the distribution of sample means of size n will also be normally distributed for any sample size n. This is known as the central limit theorem. Therefore, option A is the correct answer. Option B and C are incorrect because they state that the sampling distribution is only normally distributed for specific sample sizes. Option D is incomplete and does not provide any information about the sampling distribution.

If a Population Is Known to Be Normally Distributed,what Can